Atkin-Lehner |
2- 5+ 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
45050l |
Isogeny class |
Conductor |
45050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
18020000000 = 28 · 57 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 -2 -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2213,-40469] |
[a1,a2,a3,a4,a6] |
Generators |
[6825:103324:27] |
Generators of the group modulo torsion |
j |
76711450249/1153280 |
j-invariant |
L |
14.446558389442 |
L(r)(E,1)/r! |
Ω |
0.69670465531142 |
Real period |
R |
5.1838889977663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9010b1 |
Quadratic twists by: 5 |